Knowee
Questions
Features
Study Tools

Find the inverse of the matrix A = [2 5; 1 3]. a. [3 -5; -1 2] b. [3 -1; -5 2] c. [2 -5; 1 3] d. [3 1; -5 2]

Question

Find the inverse of the matrix A = [2 5; 1 3].

a. [3 -5; -1 2]

b. [3 -1; -5 2]

c. [2 -5; 1 3]

d. [3 1; -5 2]

🧐 Not the exact question you are looking for?Go ask a question

Solution

The inverse of a 2x2 matrix [a b; c d] is given by 1/(ad-bc) * [d -b; -c a].

So, for the matrix A = [2 5; 1 3], the determinant (ad-bc) is (23 - 51) = 1.

Therefore, the inverse of A is 1/1 * [3 -5; -1 2], which simplifies to [3 -5; -1 2].

So, the correct answer is:

a. [3 -5; -1 2]

Similar Questions

Find the inverse of matrix B = [[2, 1], [5, 3]]

If the matrix is invertible, find its inverse:A = .−1 2 −32 1 04 −2 5

What is the inverse of a 2x2 matrix A = [[a, b], [c, d]]?a.1/(ad-bc) * [[a, b], [c, d]]b.1/(ad+bc) * [[a, -b], [-c, d]]c.1/(ad+bc) * [[d, b], [c, a]]d.1/(ad-bc) * [[d, -b], [-c, a]]

compute the inverse B of the matrix, A=(13 11 9 12, 11 6 3 10, 17 8 10 9, 33 6 1 2)

The inverse of the function {(1,3),(2,1),(4,5)} isA.{(3,1),(2,1)(4,5)}{(3,1),(2,1)(4,5)}B.{(1,3),(2,1)(5,4)}{(1,3),(2,1)(5,4)}C.{(3,1),(1,2)(5,4)}{(3,1),(1,2)(5,4)}D.{(3,1),(2,1)(5,4)}{(3,1),(2,1)(5,4)}

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.